To compare 71 feet to 69 yards as a ratio reduced to its lowest terms, follow these steps:
1. Understand the units involved: We need to express both quantities in the same unit to make a fair comparison. Here, we will convert yards to feet.
2. Convert yards to feet: Knowing that 1 yard equals 3 feet, we calculate:
[tex]\[
69 \text{ yards} \times 3 \text{ feet per yard} = 207 \text{ feet}
\][/tex]
3. Form the ratio: The ratio of 71 feet to 69 yards (now converted to feet) is:
[tex]\[
\frac{71 \text{ feet}}{207 \text{ feet}}
\][/tex]
4. Simplify the ratio: We need to reduce this ratio to its lowest terms by finding the greatest common divisor (GCD) of 71 and 207. After simplification:
[tex]\[
\frac{71}{207} \text{ is already in its simplest form as 71 and 207 have no common factors other than 1.}
\][/tex]
5. Express the simplified ratio: The ratio reduced to its lowest terms is:
[tex]\[
\frac{71}{207}
\][/tex]
Therefore, the ratio of 71 feet to 69 yards, reduced to its lowest terms, is [tex]\(\frac{71}{207}\)[/tex].
